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Theor. Appl. Mech., 2024 Volume 51, Issue 2, Pages 137–163 (Mi tam146)

Linear analysis of micromorphic thermoelastic materials with microtemperatures and triple porosity

Tarun Kansal

Department of Mathematics, Markanda National College, Shahabad Markanda, India

Abstract: This paper seeks to establish the fundamental equations governing anisotropic micromorphic thermoelastic media with triple porosity and microtemperatures. The proposed model takes into account the influences of porosity and microtemperatures, both of which play significant roles in accurately capturing the behavior of specific materials. Additionally, the objective of the paper is to develop a fundamental solution for the system of equations under steady, pseudo-static, quasi-static oscillations, and equilibrium conditions.

Keywords: thermoelasticity, triple porosity, microtemperatures.

MSC: 74A15, 74A20, 74B05, 74E10, 74F05

Received: 04.08.2024

Language: English

DOI: https://doi.org/10.2298/TAM240804008K



© Steklov Math. Inst. of RAS, 2025